The number 31204
31204 is a composite number with 12 divisors. Its prime factorisation is × 29 × 269. Divisors (12): 1, 2, 4, 29, 58, 116, 269, 538, 1076, 7801, 15602, 31204.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31204 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31204 is composite. Its prime factorisation is
- 3
The divisors add up to 56700; without 31204 itself that is 25496, so 31204 is deficient (25496 is less than 31204). Euler's totient φ(31204) = 15008 numbers up to 31204 share no factor with it.
- 4
The digits of 31204 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31204 = 2^{2} \times 29 \times 269 \]31204 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56700 |
| Euler totient φ(n) | 15008 |
| Square | 973689616 |
| Cube | 30383010777664 |
| Square root | 176.646540 (= 2√7801) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.1204 × |
31204 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand two hundred and four |
| Binary (base 2) | 111100111100100 |
| Octal (base 8) | 74744 |
| Hexadecimal (base 16) | 79E4 |
| Base 3 | 1120210201 |
| As time | 31204 seconds = 8 h 40 min 4 s |
Is 31204 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (31204 ÷ 2 = 15602) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (31204 ÷ 4 = 7801) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 31204 a prime number?
No. 31204 = × 29 × 269, so it is divisible by 2.
What are the factors of 31204?
1, 2, 4, 29, 58, 116, 269, 538, 1076, 7801, 15602, 31204.
What is 31204 in binary?
111100111100100 (hexadecimal 79E4, octal 74744).
What is the square root of 31204?
About 176.6465, exactly 2√7801.
Is 31204 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 31204?
It is a composite number with 12 divisors.